Question Number 139738 by mathsuji last updated on 30/Apr/21 $$\underset{{n}\rightarrow\infty} {{lim}}\underset{\mathrm{0}} {\overset{\mathrm{1}} {\int}}\:\frac{{n}\centerdot{x}^{{n}} }{\mathrm{2}+{x}^{{n}} }\:{dx}=? \\ $$ Answered by mindispower last updated on 01/May/21 $$\int_{\mathrm{0}}…
Question Number 74196 by kennethalli last updated on 20/Nov/19 $${solve}\:{for}\:{x}: \\ $$$$\mathrm{4}^{{x}} +\mathrm{6}^{{x}} =\mathrm{9}^{{x}} \\ $$ Commented by MJS last updated on 20/Nov/19 $$\mathrm{see}\:\mathrm{question}\:\mathrm{74168} \\…
Question Number 8663 by uchechukwu okorie favour last updated on 20/Oct/16 $${if}\:{I}={a}\left(\mathrm{1}−\frac{{r}}{\mathrm{100}}\right)^{{n}} \\ $$$${make}\:{n}\:{the}\:{subject}\:{of}\:{formular} \\ $$$$ \\ $$ Answered by sandy_suhendra last updated on 20/Oct/16…
Question Number 8661 by FilupSmith last updated on 20/Oct/16 $${p}_{{n}} ={n}^{{th}} \:\mathrm{prime}\:\mathrm{number} \\ $$$${p}_{\mathrm{1}} =\mathrm{2},\:{p}_{\mathrm{2}} =\mathrm{3},\:{p}_{\mathrm{3}} =\:\mathrm{5},\:… \\ $$$$ \\ $$$$\mathrm{Does}\:\mathrm{the}\:\mathrm{following}\:\mathrm{converge}: \\ $$$$\underset{{i}=\mathrm{1}} {\overset{\infty} {\sum}}\:\frac{{p}_{{i}}…
Question Number 8644 by prakash jain last updated on 19/Oct/16 $$\mathrm{Write}\:\mathrm{an}\:\mathrm{expression}\:\mathrm{involving} \\ $$$${e}\:\mathrm{and}\:\pi\:\mathrm{which}\:\mathrm{when}\:\mathrm{evaluated} \\ $$$$\mathrm{gives}\:\mathrm{result}\:\mathrm{1}. \\ $$ Commented by Yozzias last updated on 19/Oct/16 $$\mathrm{ee}^{−\mathrm{1}}…
Question Number 74168 by mr W last updated on 19/Nov/19 Commented by mr W last updated on 19/Nov/19 $${solve}\:{for}\:{x}. \\ $$ Answered by Rio Michael…
Question Number 8635 by tawakalitu last updated on 19/Oct/16 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{x} \\ $$$$\mathrm{5}^{\sqrt{\mathrm{x}}} \:−\:\mathrm{5}^{\mathrm{x}} \:−\:\mathrm{7}\:=\:\mathrm{100} \\ $$ Answered by ridwan balatif last updated on 19/Oct/16 $$\mathrm{5}^{\sqrt{\mathrm{x}}}…
Question Number 8633 by Yozzias last updated on 19/Oct/16 $$\mathrm{Find}\:\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\frac{\mathrm{n}^{\mathrm{p}} }{\mathrm{x}^{\mathrm{n}} }\:\:\:\mathrm{where}\:\mathrm{p}\in\mathbb{Z}^{+} . \\ $$ Commented by prakash jain last updated on 19/Oct/16 $$\mathrm{Does}\:{x}\:\mathrm{cover}\:\mathrm{entire}\:\mathrm{range}\:\mathrm{of}\:\mathbb{R}?…
Question Number 74164 by MASANJAJ last updated on 19/Nov/19 $${factorize} \\ $$$$\mathrm{6}{x}^{\mathrm{2}} \:−\mathrm{11}{xy}\:−\mathrm{10}{y}^{\mathrm{2}} \\ $$ Answered by MJS last updated on 19/Nov/19 $$\mathrm{6}{x}^{\mathrm{2}} −\mathrm{11}{xy}−\mathrm{10}{y}^{\mathrm{2}} =\mathrm{0}…
Question Number 139700 by EnterUsername last updated on 30/Apr/21 $$\mathrm{If}\:{z}_{\mathrm{1}} ,\:{z}_{\mathrm{2}} \:\mathrm{and}\:{z}_{\mathrm{3}} \:\mathrm{are}\:\mathrm{distinct}\:\mathrm{complex}\:\mathrm{numbers}\:\mathrm{such} \\ $$$$\mathrm{that}\:\mid{z}_{\mathrm{1}} \mid=\mid{z}_{\mathrm{2}} \mid=\mid{z}_{\mathrm{3}} \mid=\mathrm{1}\:\mathrm{and} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\frac{{z}_{\mathrm{1}} ^{\mathrm{2}} }{{z}_{\mathrm{2}} {z}_{\mathrm{3}} }+\frac{{z}_{\mathrm{2}} ^{\mathrm{2}}…